Minimum-Weight Design of Vibrating Elastic Structures with Dynamic Deflection Constraint.
Abstract
This report examines the minimum-weight design of linearly elastic structures subject to forced vibration caused by a set of prescribed loads. The design is constrained by a prescribed amplitude of vibration at a specific point on the structure. A necessary and sufficient condition for stationary total weight of the structure is derived by means of the calculus of variations using the principle of stationary mutual potential energy including inertia force. Optimal design problems of elastic rods, beams and trusses with lumped masses are presented as applicational illustrations. An iterative process is established for computing optimum rods and beams.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1975
- Accession Number
- ADA020211
Entities
People
- N. C. Huang
Organizations
- University of Wisconsin–Madison